Answer:
B.) |w - 5.76| / 36 = 0.03
Step-by-step explanation:
Given :
Weight of individual candy piece = 0.16 ounce
Number of candy pieces per package = 36
Allowable variation in weight of individual piece = 0.03 ounces
The highest and lowest allowable weight, w of a package of 36 pieces ;
Actual manufacturing weight of entire 36 candy = (36 * 0.16) = 5.76
Allowable weight ± actual weight ≤ allowable variation
w ± 0.16 ≤ 0.03
|w - 0.16| ≤ 0.03
For the entire 36 candy pieces :
|w - 0.16*36| = 0.03 * 36
|w - 5.76| = 1.08
|w - 0.16*36| = 0.03 * 36
Could also be written as :
|w - 5.76| / 36 = 0.03
At a banquet 216 guests sit at 18 tables. Each table has the same number of guests. How many guests per table?
A. 8 guests per table
B. 12 guests per table
C. 18 guests per table
Mrs. Hart went to get her nails done at the salon. The cost was $35.00. What is the total amount if tax is 6% and she wants to leave a 18% tip?
A. $24.00
B. $43.40
C. $8.40
D. $59.00
Answer:
B) $43.40
Step-by-step explanation:
For the tax, 6% of 35 = 2.1
So with tax = $35 + 2.1 = $37.1
18% tip
So, 18% of 35 = 6.3
So we are gonna add all the costs together = 37.1 + 6.3 = $43.40
Answer:
Answer:
B) $43.40
Step-by-step explanation:
For the tax, 6% of 35 = 2.1
So with tax = $35 + 2.1 = $37.1
18% tip
So, 18% of 35 = 6.3
So we are gonna add all the costs together = 37.1 + 6.3 = $43.40
Step-by-step explanation:
What is the number based on the list of factors? 1,3,7, __
Please help
Answer:
21 I think, might be wrong.
A game at a carnival has the following rules: A player rolls a 6-sided die and, if the number is less than
6, wins twice the number on the die in tokens. On the other hand, the player loses 12 tokens when a 6 is
rolled. What should it cost to play if the game is to be fair?
Answer: 2 tokens
Step-by-step explanation: 6 and 12 are both able to be divided by 2 i dunno
What is the solution to the equation? sqrtx + 3 = 12 HINT: It's not C.
A. 225
B. 81
C. 3
D. No solution
Given the equation: - 4 √x - 3 = 12
solve for x;
Divide both sides by -4 in [1]; we get;
√x - 3 = -3
Squaring both sides we get;
x -3 = (3)²
or
x - 3 = 9
Add 3 both sides we get;
x - 3 + 3 = 9 + 3
Simplify:
x= 12
Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.
Substitute x= 12 in [1]
- 4√12 - 3 = 12
- 4√9 = 12
-4. 3 = 12
-12 = 12 False.
Therefore, the value of x is 12 and it is an extraneous solution.
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2+4x=2(2x+1)
Which statements are true?
Select each correct answer.
There is no value for x that will make the equation true.
The equation is an identity,
The solution is 2.
There are infinitely many solutions.
The equation is a contradiction.
There are no solutions.
The equation is true for all values of x.
3/5 × 35 in simplest form
Answer:
i used desmos calculator
Step-by-step explanation:
3/5 = 0.6
0.6 x 35 = 21
21 is already a simplest mode
u can also used 0.21
Tim has 54 golf balls. He wants to put an equal number of golf balls in each of 9
baskets. How many golf balls will be in each basket?
CLEAR
SUBMIT
5 golf balls
6 golf balls
7 golf balls
8 golf balls
Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?
Answer:
a) % age of samples containing none of these defects = 93.9%
b)% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect = 98.9%
Step-by-step explanation:
Data Given:
Number of Samples = 1000
Type X defect = 2.1% = 21 samples
Type Y defect = 2.4% = 24 samples
Type Z defect = 2.8% = 28 samples
Both Type X and Y defect = 0.3% = 3 samples
Both Type X and Z defect = 0.4% = 4 samples
Both Type Y and Z defect = 0.6% = 6 samples
Type X and Y and Z defect = 0.1% = 1 sample
Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.
a) % age of samples containing none of these defects.
Solution:
Number of samples containing none of these defects = Total - Samples with defects
Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
Number of samples containing none of these defects = 1000 - 61
Number of samples containing none of these defects = 939
% age of samples containing none of these defects = 939/1000 x 100
% age of samples containing none of these defects = 93.9%
b) % age of samples containing at least one of these defects:
We have already calculated this above, number of samples containing at least on of these defects:
number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
number of samples containing at least on of these defects = 61
% age of samples containing at least one of these defects = 61/1000 x 100
% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects.
For this find, we need to find the samples with only Z Type defect.
Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of Samples with Only Z type defects = { (28) -(4) - (6) + (1) }
Number of Samples with Only Z type defects = 19
Now, we also know the number of samples without any defects = 939
Now,
The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects
The number of samples free of type X and/or type Y defect = 19+939
The number of samples free of type X and/or type Y defect = 958
% age of samples free of type X and/or type Y defects = 958/1000 x 100
% age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect:
For this find, we need to find number of samples with only X type and with only type Y and with only type Z.
We have already found the number of samples with only Z type defect = 19
Now,
number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only X type defect = { (21) -(4) - (3) + (1) }
number of samples with only X type defect = 15
Similarly,
number of samples with only Y type defect = { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only Y type defect = { (24) -(6) - (3) + (1) }
number of samples with only Y type defect = 16
For,
samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects
samples with not more than 1 defect = 939 + 16 + 15 + 19
samples with not more than 1 defect = 989
%age of samples with not more than 1 defect = 989/1000 x 100
%age of samples with not more than 1 defect = 98.9%
An angle is made up of 66 one-degree angles. What is the measure of the angle?
Answer:
66 degrees
Step-by-step explanation:
if there are 66 one degree angles, all alll those together to get 66 degrees in total
The measure of the angle that is given with the given parameter is; 66°
How to find the value of the angle?
We are told that ang angle is made up of 66 one-degree angles. Now, this means that each of the section of the main angle is one degree.
Thus, the value of 66 numbers of that angle will be;
66 * 1 = 66°
In conclusion, the measure of the angle is 66°.
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Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.
Answer:
Step-by-step explanation:
exponential decay
rate of change: 20%
11/(x+9)=5
I am struggling with this question. Is there a solution?
Answer:
x=-6.8
[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]
Find the missing angle. Round your answer to the nearest degree.
37 FT
22 ft
f
x=
degrees
1
Answer:
53.52°
Step-by-step explanation:
cos x° = 22/37 = 0.59456
x = 53.52°
YOU HAVE SAVED $5000 AND INVESTED IT AT A RATE 3.2% FOR 5 YEARS. WRITE AN EXPONENTIAL FUNCTION TO REPRESENT THIS SITUATION. HOW MUCH WILL VOU KAVE AFTER YEARS? HOW MUCH WILL A BILLIONAIRE HAVE IF HE INVESTS $1,000,000,000 AT THE SAME RATE FOR THE SAME AMOUNT OF TIME?
Answer:
5852.86 = 5000 (1+ .032)^5
1170572956 = 1,000,000,000(1+ .032)^5
Step-by-step explanation:
A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Yi denote the number of times exit i is chosen in successive runnings. For the following, assume that the rat chooses an exit at random on each run.
Required:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
Answer:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
=0.823
Step-by-step explanation:
Multinomial distribution
p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)
The rat chooses of the three exists at random:
p = 1/3
p(3,2,1) = 6! / 3! 1! 2! (1/3)^3 (1/3)^1 (1/3)^2
=20/243
=0.823
HELP!!!!!!!
A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 84 feet?
Answer:
Approximately 3.81 seconds
Step-by-step explanation:
d = 3t + 5t²
d = 84
84 = 3t + 5t²
3t + 5t² - 84 = 0
5t² + 3t - 84 = 0
5(t² + 3/5t - 84/5) = 0
5(((t + 3/10)² - 9/100) - 84/5) = 0
5((t + 3/10)² - 9/100 - 84/5) = 0
5((t + 3/10)² - 9/100 - 1680/100) = 0
5((t + 3/10)² - 1689/100) = 0
5(t + 3/10)² - 1689/20 = 0
5(t + 3/10)² = 1689/20
(t + 3/10)² = 1689/100
t + 3/10 = ±√(1689)/10
t = -3/10 ± √(1689)/10
t = -3/10 ± ≈41.1/10
t = -3/10 ± ≈4.11
t ≈ -0.3 ± 4.11
t [can only be positive] ≈ 4.11 - 0.3
t ≈ 3.81
I need help ASAP no rocky
Answer:
no rocky
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
I think it's C and I am always right so it is C! You're welcome!
Two possible floor plans for a new bathroom are shown.
Is there a value for x for which the perimeters are equal?
What is the linear equations?
Answer:
Hope it works for u
Step-by-step explanation:
As we have given two shapes bathroom
square and rectangle
Parameter of square= sum of all the sides ( : In square all sides are equal
Parameter of square= 4*L = 4*(x+3) (:L=x+3
similarly,
In rectangle opposites sides are equal hence
Perimeter of rectangle= 2*length+2*width ( : length=x+4,width can't be seen clearly so I assume and take it width=x+1 hope this is equal to the width of ur question otherwise do the calculation by ur self).
Perimeter of rectangle= 2*(x+4)+2(x+1)
so now we have to find the value of "x" for which both perimeter are equal, so
perimeter of square= perimeter of rectangle
4*(x+3)=2*(x+4)+2(x+1) we can also write as
2(x+3)+2(x+3)=2(x+4)+2(x+1)This is the linear equation requirednow to find value of "x"simplify both sides, we get4x+12=4x+100≠2 so that not true and also there is no value of "x"for which both parameters become equal
so from my side "b" option is correctPlease brain-list it if u find it help-full it requires effort!
Answer: B option is correct. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
explanation: I hope that was helpful!
In fraction how too solve 2/8=4
Answer:
8/8=16
Step-by-step explanation:
4/2=2
2x8=16
8/8(whole)=16
15) A store is having a sale during which all outdoor furniture is 45% off the original price, p. If
the post-sale price of an outdoor furniture set can be calculated using the expression p
0.45p, which expression also represents the price?
Answer and explanation:
Given that there is 45% off original price of outdoor furniture and price is represented by p
Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p
Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p
what is the answer of X
Answer: x = -5
Step-by-step explanation:
-3.4x - 9 = 8
+9 +9
-3.4x = 17
-3.4x ÷ -3.4 = x
17 ÷ -3.4 = -5
What reason can be used to complete this proof?
m∠1=m∠3 because ∠1≅∠3.
m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.
m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB=m∠AXD by the transitive property of equality.
So, ∠AXD≅∠CXB.
Answer:
Option (2)
Step-by-step explanation:
Given:
∠1 ≅ ∠3
To Prove:
∠AXD ≅ ∠CXB
Solution:
Given question is incomplete; find the complete question in the attachment.
Statements Reasons
1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3 1). Given
2). m∠1 + m∠2 = m∠CXB and
m∠2 + m∠3 = m∠AXD 2). Angle addition postulate
3). m∠1 + m∠2 = m∠AXD 3). Because you can substitute
m∠1 for m∠3
4). m∠CXB = m∠AXD 4).Transitive property of equality
5). ∠AXD ≅ ∠CXB
Therefore, Option (2) will be the correct option.
Consider the original trapezoid and the reduction.
A trapezoid has corresponding side lengths of 13.5 centimeters and 9 centimeters. Side A corresponds to a side with length 3 centimeters.
Figures not drawn to scale.
What is the length of side A, in centimeters, on the reduced trapezoid?
1
1.5
2
4.5
Answer:
2
Step-by-step explanation:
yaw
Answer:
2
Step-by-step explanation
Got it correct in Edgen :D
Solve each problem by graphing
Y=-5x+3
Y=-5x-3
Answer:
I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.
Step-by-step explanation:
They both have the same slope and different y intercept so they will never intersect
What is the volume of the rectangular prism?
Answer:
189 yards cubed, hope this helped! :D
Step-by-step explanation:
Which graph represents this system? 2x-5v=-5 y=-3x+1
Answer:
Please check the attached graph.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the system of equations
2x - 5y = -5 --- [Equation 1]
y = -3x + 1 --- [Equation 2]
converting the equation 1 in the slope-intercept form
2x - 5y = -5
5y = 2x+5
divide both sides by 5
y = 2/5x + 1
Thus, the y-intercept = 1
Now, please check the attached graph below.
The red line represents the equation 2x - 5y = -5
From the graph, it is clear that the red line has the y-intercept y = 1.
Now, considerng the equation 2
y = -3x + 1
comparing with the slope-intercept form of line equation
The y-intercept b = 1
Hence, the y-intercept of the line y = -3x + 1 is y = 1
The green line represents the equation y = -3x + 1
From the graph, it is clear that the green line has the y-intercept y = 1.
Point of Intersection:
It is clear from the graph:
The red line represents the equation 2x - 5y = -5.The green line represents the equation y = -3x + 1.As both lines meet or intersect at the point (0, 1).
Therefore, the point of intersection of both the lines is:
(x, y) = (0, 1)
As we know that the point of intersection of both the lines represents the solution to the system of equations.
Therefore, (0, 1) on the graph represents the solution to the system of equations.
The graph is attached below.
There are 40 children and 12 adults going on a trip to New York City by car. Each car can hold a maximum of 5 people. What is the least number of cars needed for the trip?
Answer:
Number of cars needed for the trip = 11
Step-by-step explanation:
Given that:
Number of children = 40
Number of adults = 12
Total number = 40 + 12 = 52 people
Each car can hold 5 people.
Number of cars = [tex]\frac{52}{5}[/tex]
Number of cars = 10.4
Rounding off to next whole number as one car can hold a maximum of 5 people.
Number of cars = 11
Hence,
Number of cars needed for the trip = 11
When a number is increased by 35, the result is 38. What equation fits this statement
Answer:
3 + 35 = 38?
Step-by-step explanation:
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 which equation can be used to find the number of bag of sand ,b, the manager order
Answer:
hope this helps UwU
Step-by-step explanation:
The required equation represents the number of bags of sand is b = 4920 ÷ 40.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 points.
Let the number of bags be b,
40 × = 4920
b = 4920 ÷ 40
Thus, the required equation that represents the number of bags of sand is b = 4920 ÷ 40.
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Solve math please.???
9514 1404 393
Answer:
a) 3
b) 1
c) y = 3x +1
Step-by-step explanation:
Given:
A(1, 4), B(2, 7)
m = (y2 -y1)/(x2 -x1)
Find:
a) the slope of the line through these points
b) the y-intercept of the line through these points
c) the equation of the line through these points
Solution:
a) Using the given formula, the slope is ...
m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line
__
b) The y-intercept can be found from* ...
b = y1 -m·x1
b = 4 -3·1 = 1 . . . the y-intercept
__
c) The equation in slope-intercept form is ...
y = mx +b
y = 3x +1
_____
* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:
y -y1 = m(x -x1)
y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1
b = y1 -m·x1 . . . . . . . . solve for b